$f: R→ R$ given by $f(x) = 2x +|\cos x|$, is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → one-one and onto
Clearly, $g: R→ R$ given by $g(x) = 2x$ is a bijection. Also, it is strictly increasing function on R. Therefore, $f(x) = 2x + |\cos x|$ is also strictly increasing function on R. Hence, it is one-one and onto function.